topic badge
AustraliaVIC
VCE 11 Methods 2023

8.09 Symmetries

Interactive practice questions

Let $\theta$θ be an acute angle (in radians).

If $\sin\theta=0.6$sinθ=0.6, find the value of:

a

$\sin\left(\pi-\theta\right)$sin(πθ)

b

$\sin\left(\pi+\theta\right)$sin(π+θ)

c

$\sin\left(2\pi-\theta\right)$sin(2πθ)

d

$\sin\left(-\theta\right)$sin(θ)

Easy
2min

Let $\theta$θ be an acute angle (in radians).

If $\cos\theta=0.1$cosθ=0.1, find the value of:

Easy
1min

Let $\theta$θ be an acute angle (in radians).

If $\tan\theta=0.52$tanθ=0.52, find the value of:

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U2.AoS1.12

the unit circle and exact values of sine, cosine and tangent for 0,pi/6, pi/4, pi/3, pi/2 (and their degree equivalents) and integer multiples of these

U2.AoS1.4

symmetry properties, complementary relations and periodicity properties for sine, cosine and tangent functions

What is Mathspace

About Mathspace